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1.8 Integration

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Question 29

Find $dx\int \left( 12x^2 - \dfrac{5}{x\sqrt{x}} \right) \, dx$

[3]

The rate of change of the mass, $M$ grams, of a chemical precipitate over time $t$ minutes is modelled by the differential equation

\dfrac{dM}{dt} = 12t^2 - \dfrac{5}{t\sqrt{t}}, \quad t > 0

Given that at $t = 4$ , the mass of the precipitate is 265 grams, determine an expression for $M$ in terms of $t$ .

[3]

Markscheme

1.8 Integration Questions

A Level
Maths
1.8 Integration

160 exam-style questions on WJEC A Level Maths 1.8 Integration, covering 1.8.1 Integration, 1.8.2 Integration, and 1.8.3 Integration. Each one has a worked solution and a mark scheme showing where the marks go.

1.8 Integration

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1.8 Integration

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Question 29

Find $dx\int \left( 12x^2 - \dfrac{5}{x\sqrt{x}} \right) \, dx$

[3]

The rate of change of the mass, $M$ grams, of a chemical precipitate over time $t$ minutes is modelled by the differential equation

\dfrac{dM}{dt} = 12t^2 - \dfrac{5}{t\sqrt{t}}, \quad t > 0

Given that at $t = 4$ , the mass of the precipitate is 265 grams, determine an expression for $M$ in terms of $t$ .

[3]

Markscheme

1.8 Integration Questions

A Level
Maths
1.8 Integration